The generator matrix
1 0 0 1 1 1 1 1 0 1 1 1 2X 1 1 1 1 2X 1 0 1 X 1 1
0 1 0 1 0 2 1 2 1 0 2X+1 2X+2 1 2X 1 0 0 1 2 X 2X+1 1 2X 0
0 0 1 2 1 2 1 0 2 2 2X 2X+1 2X+1 2X+1 1 2 0 X+1 2X 1 2X X 2X+1 0
0 0 0 2X 0 0 0 0 0 0 2X X 2X X 2X 2X X 2X 2X 2X X 0 0 0
0 0 0 0 2X 0 0 0 X X 2X X 2X 2X X X 0 0 X 0 X 0 2X 0
0 0 0 0 0 X 0 X X 0 X X X 2X 2X X 0 0 2X 2X 2X X 2X 0
0 0 0 0 0 0 X 2X X X 2X 0 X 2X 0 0 2X X 0 X 2X 2X 2X 0
generates a code of length 24 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.
Homogenous weight enumerator: w(x)=1x^0+58x^33+36x^34+42x^35+200x^36+270x^37+288x^38+748x^39+1134x^40+990x^41+1852x^42+3330x^43+2166x^44+3940x^45+6534x^46+3366x^47+5318x^48+7830x^49+3600x^50+4812x^51+5220x^52+2058x^53+2280x^54+1782x^55+612x^56+344x^57+108x^58+80x^60+32x^63+16x^66+2x^69
The gray image is a linear code over GF(3) with n=72, k=10 and d=33.
This code was found by Heurico 1.16 in 9.85 seconds.